Bài 1:
1) \(\Rightarrow\left(x-2\right)\left(x+1\right)=0\)
\(\Rightarrow\left[{}\begin{matrix}x=2\\x=-1\end{matrix}\right.\)
2) \(\Rightarrow\left(x-3\right)\left(5x-1\right)=0\)
\(\Rightarrow\left[{}\begin{matrix}x=3\\x=\dfrac{1}{5}\end{matrix}\right.\)
3) \(\Rightarrow\left(4x-3\right)\left(7-12x\right)=0\)
\(\Rightarrow\left[{}\begin{matrix}x=\dfrac{3}{4}\\x=\dfrac{7}{12}\end{matrix}\right.\)
4) \(\Rightarrow x^3+8-x^3+25x=-17\)
\(\Rightarrow25x=-25\Rightarrow x=-1\)
5) \(\Rightarrow\left(3x-2\right)\left(3x+2\right)-2\left(3x-2\right)^2=0\)
\(\Rightarrow\left(3x-2\right)\left(3x+2-6x+4\right)=0\)
\(\Rightarrow\left(3x-2\right)\left(-3x+6\right)=0\)
\(\Rightarrow\left[{}\begin{matrix}x=\dfrac{2}{3}\\x=2\end{matrix}\right.\)
Bài 3:
c: \(x^2+7x+12=\left(x+3\right)\left(x+4\right)\)
d: \(x^3-7x-6\)
\(=x\left(x-1\right)\left(x+1\right)-6\left(x+1\right)\)
\(=\left(x+1\right)\left(x^2-x-6\right)\)
\(=\left(x+1\right)\left(x-3\right)\left(x+2\right)\)